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Fetty Wap On Thin Ice Post-Prison ... DNA & Drug Testing for 5 Yrs.

Fetty Wap's just starting his 6-year prison bid after pleading guilty in his drug trafficking case ... but even when that's done, he'll be under very strict guidelines for almost as long.

According to court docs, obtained by TMZ Hip Hop, Fetty will have to fully disclose his financial records and yearly income tax returns to the U.S. Probation Department.

Fetty is also prohibited from opening any new bank or financial accounts without prior approval from the feds, and will have to submit virtually everything he owns -- houses, vehicles, even himself -- to search whenever there's a reasonable suspicion he's violated any terms of supervised release.

He also must cooperate with the probation officer to get a sample of his DNA upon release from prison.

TMZ Hip Hop broke the story ... last August, Fetty pleaded guilty to conspiracy to distribute a whopping 500 grams or more of cocaine. He was sentenced to 6 years in prison and 5 years of supervised release.

The New Jersey-bred artist released as much music as he could before turning himself in, and managed to hit a billion streams on Spotify.

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